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goldfiish [28.3K]

3 years ago

14

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = x+1 1 X+ 3 2.

O A. (-4,-3) OB. (-2,1) O C. (2,3) O D. (4,5)

1 answer:

Troyanec [42]3 years ago

8 0

Answer:

D. (4, 5)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS
Equality Properties

<u>Algebra I</u>

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = x + 1

y = 1/2x + 3

<u>Step 2: Solve for</u><u><em> x</em></u>

Substitute in <em>y</em>: x + 1 = 1/2x + 3
Subtract 1/2x on both sides: 1/2x + 1 = 3
Subtract 1 on both sides: 1/2x = 2
Divide both sides by 1/2: x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

Define original equation: y = x + 1
Substitute in <em>x</em>: y = 4 + 1
Add: y = 5

<u>Step 4: Graph</u>

<em>We can confirm our answer.</em>

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Lostsunrise [7]

Answer:

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Step-by-step explanation:

Step 1, do the stuff in parenthesis:

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Step 2, remove parenthesis and simplify:

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Step 3, use this formula-

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3 years ago

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lesya [120]

Answer:

(4)Angle A is 63°

Step-by-step explanation:

To find angle A here is what you have to do

(1) triangle A is an Isosceles triangle which has two of its angles being equal.

(2) To find A we hv to look for the interior angles of the triangle. If u look carefully there is this angle outside the triangle .we can use a property called "Angles on a straight line

(3) " Angles on a straight line sum up to 180°" When u do that ur equation will look like this

126+(x)=180°. u may be wondering hw did we get the x?? well i named the angle we dont know with any valuable like T,F etc .when u group like terms ur equation should look like this (x)=180°-126°

if u subtract ur answer should be x=63°

(B) if u look closely u will see there are two triangles. The one to the far right is an Isosceles triangle why because there is this double stroke indicating it is an Isosceles triangle. Remember an Isosceles triangle has its bases being equal. so the the triangle has two angles of 30°. so If we want to find B we first have to find the interior angles of the Isosceles triangle . so our epuarion will be like this 30°+30°+(X)=180°

U group like terms so it will look like this x=180°-60° so,

x= 120°

So now T=120°

Now to find B

we write the equation like this T+(W)=180°

we put the value of T into the Equation w=180°-120 the answer is 60°

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Nb they should be in Degrees

finally u group like terms. ur equation should look like this B=180-150

ur answer should be B=30°

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umka21 [38]

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